Generalised integrable λ- and η-deformations and their relation

Konstantinos, Sfetsos; Siampos, Konstadinos; Thompson, Daniel C. (2015). Generalised integrable λ- and η-deformations and their relation. Nuclear physics. B, 899, pp. 489-512. North Holland 10.1016/j.nuclphysb.2015.08.015

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We construct two-parameter families of integrable λ -deformations of two-dimensional field theories. These interpolate between a CFT (a WZW/gauged WZW model) and the non-Abelian T-dual of a principal chiral model on a group/symmetric coset space. In examples based on the SU(2) WZW model and the SU(2)/U(1) exact coset CFT, we show that these deformations are related to bi-Yang–Baxter generalisations of η-deformations via Poisson–Lie T-duality and analytic continuation. We illustrate the quantum behaviour of our models under RG flow. As a byproduct we demonstrate that the bi-Yang–Baxter σ-model for a general group is one-loop renormalisable.

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